Pub Date : 2016-02-01Epub Date: 2015-12-04DOI: 10.1210/en.2015-1803
A Solmonson, E M Mills
{"title":"Uncoupling Proteins and the Molecular Mechanisms of Thyroid Thermogenesis.","authors":"A Solmonson, E M Mills","doi":"10.1210/en.2015-1803","DOIUrl":"10.1210/en.2015-1803","url":null,"abstract":"","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"16 1","pages":"455-62"},"PeriodicalIF":3.8,"publicationDate":"2016-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4733119/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86206232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A -list assignment of a graph is a mapping which assigns a set of size to each vertex of and . A graph is -choosable if has a proper coloring such that for each -list assignment . In 2011, Charoenpanitseri et al. gave a characterization of -choosability of -vertex graphs when and left open problems when . Recently, Ruksasakchai and Nakprasit obtain the results when . In this paper, we extend the results to case .
图的-list赋值是一种映射,它为和的每个顶点赋值一个大小集合。图是可选择的,如果有一个适当的着色,使每个-list分配。Charoenpanitseri et al.在2011年给出了顶点图的-可选择性的表征,并在时留下了开放问题。最近,Ruksasakchai和Nakprasit获得了结果。在本文中,我们将结果推广到实例。
{"title":"On -Choosability of -Vertex Graphs","authors":"W. Charoenpanitseri","doi":"10.1155/2015/690517","DOIUrl":"https://doi.org/10.1155/2015/690517","url":null,"abstract":"A -list assignment of a graph is a mapping which assigns a set of size to each vertex of and . A graph is -choosable if has a proper coloring such that for each -list assignment . In 2011, Charoenpanitseri et al. gave a characterization of -choosability of -vertex graphs when and left open problems when . Recently, Ruksasakchai and Nakprasit obtain the results when . In this paper, we extend the results to case .","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2015 1","pages":"1-6"},"PeriodicalIF":1.2,"publicationDate":"2015-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2015/690517","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65099725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2014-01-11DOI: 10.1155/S0161171202003071
E. Savaş
We introduce the strongly (V,λ)-convergent sequences and give the relation between strongly (V,λ)-convergence and strongly (V,λ)-convergence with respect to a modulus.
引入了强(V,λ)收敛序列,给出了强(V,λ)收敛与强(V,λ)收敛对模的关系。
{"title":"Some sequence spaces and statistical convergence.","authors":"E. Savaş","doi":"10.1155/S0161171202003071","DOIUrl":"https://doi.org/10.1155/S0161171202003071","url":null,"abstract":"We introduce the strongly (V,λ)-convergent sequences and give the relation between strongly (V,λ)-convergence and strongly (V,λ)-convergence with respect to a modulus.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"29 1","pages":"303-306"},"PeriodicalIF":1.2,"publicationDate":"2014-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/S0161171202003071","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64955087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We investigate the cyclic homology and free resolution effect of a commutative unital Banach algebra. Using the free resolution operator, we define the relative cyclic homology of commutative Banach algebras. Lemmas and theorems of this investigation are studied and proved. Finally, the relation between cyclic homology and relative cyclic homology of Banach algebra is deduced.
{"title":"On the Homology Theory of Operator Algebras","authors":"A. Noreldeen","doi":"10.1155/2012/368527","DOIUrl":"https://doi.org/10.1155/2012/368527","url":null,"abstract":"We investigate the cyclic homology and free resolution effect of a commutative unital Banach algebra. Using the free resolution operator, we define the relative cyclic homology of commutative Banach algebras. Lemmas and theorems of this investigation are studied and proved. Finally, the relation between cyclic homology and relative cyclic homology of Banach algebra is deduced.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"300 1","pages":"1-13"},"PeriodicalIF":1.2,"publicationDate":"2012-12-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2012/368527","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64316471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A new class of multifunctions, called upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions are obtained. The relationships between upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions and some known concepts are also discussed.
{"title":"On Upper and Lower (,)-Continuous Multifunctions","authors":"C. Boonpok","doi":"10.1155/2012/931656","DOIUrl":"https://doi.org/10.1155/2012/931656","url":null,"abstract":"A new class of multifunctions, called upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions are obtained. The relationships between upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions and some known concepts are also discussed.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"8 1","pages":"1-17"},"PeriodicalIF":1.2,"publicationDate":"2012-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90071417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The original classiffcation of PBIBDs defined group divisible designs GDD( 𝑣 = 𝑣 1 + 𝑣 2 + ⋯ + 𝑣 𝑔 , 𝑔 , 𝑘 , 𝜆 1 , 𝜆 2 ) with 𝜆 1 ≠ 0 . In this paper, we prove that the necessary conditions are suffcient for the existence of the group divisible designs with two groups of unequal sizes and block size three with 𝜆 2 = 1 .
{"title":"Group Divisible Designs with Two Associate Classes and 2=1","authors":"N. Pabhapote, N. Punnim","doi":"10.1155/2011/148580","DOIUrl":"https://doi.org/10.1155/2011/148580","url":null,"abstract":"The original classiffcation of PBIBDs defined group divisible designs GDD( 𝑣 = 𝑣 1 + 𝑣 2 + ⋯ + 𝑣 𝑔 , 𝑔 , 𝑘 , 𝜆 1 , 𝜆 2 ) with 𝜆 1 ≠ 0 . In this paper, we prove that the necessary \u0000conditions are suffcient for the existence of the group divisible designs with two groups \u0000of unequal sizes and block size three with 𝜆 2 = 1 .","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"34 1","pages":"1-10"},"PeriodicalIF":1.2,"publicationDate":"2011-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73345213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study the long-time behavior of solutions to nonautonomous semilinear parabolic systems involving the Grushin operators in bounded domains. We prove the existence of a pullback -attractor in for the corresponding process in the general case. When the system has a special gradient structure, we prove that the obtained pullback -attractor is more regular and has a finite fractal dimension. The obtained results, in particular, extend and improve some existing ones for the reaction-diffusion equations and the Grushin equations.
{"title":"On the Dynamics of Nonautonomous Parabolic Systems Involving the Grushin Operators","authors":"Toi Vu Manh","doi":"10.1155/2011/178057","DOIUrl":"https://doi.org/10.1155/2011/178057","url":null,"abstract":"We study the long-time behavior of solutions to nonautonomous semilinear parabolic systems involving the Grushin operators in bounded domains. We prove the existence of a pullback -attractor in for the corresponding process in the general case. When the system has a special gradient structure, we prove that the obtained pullback -attractor is more regular and has a finite fractal dimension. The obtained results, in particular, extend and improve some existing ones for the reaction-diffusion equations and the Grushin equations.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2011 1","pages":"1-27"},"PeriodicalIF":1.2,"publicationDate":"2011-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2011/178057","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64259280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Geometric sensitivity for single photon emission computerized tomography (SPECT) is given by a double integral over the detection plane. It would be useful to be able to explicitly evaluate this quantity. This paper shows that the inner integral can be evaluated in the situation where there is no gamma ray penetration of the material surrounding the pinhole aperature. This is done by converting the integral to an integral in the complex plane and using Cauchy's theorem to replace it by one which can be evaluated in terms of elliptic functions.
{"title":"Geometric Sensitivity of a Pinhole Collimator.","authors":"Howard Jacobowitz, Scott D Metzler","doi":"10.1155/2010/915958","DOIUrl":"https://doi.org/10.1155/2010/915958","url":null,"abstract":"<p><p>Geometric sensitivity for single photon emission computerized tomography (SPECT) is given by a double integral over the detection plane. It would be useful to be able to explicitly evaluate this quantity. This paper shows that the inner integral can be evaluated in the situation where there is no gamma ray penetration of the material surrounding the pinhole aperature. This is done by converting the integral to an integral in the complex plane and using Cauchy's theorem to replace it by one which can be evaluated in terms of elliptic functions.</p>","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2010 ","pages":"915958"},"PeriodicalIF":1.2,"publicationDate":"2010-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2010/915958","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"32062397","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study the global stability, the periodic character, and the boundedness character of the positive solutions of the difference equation 𝑥𝑛
研究了差分方程的整体稳定性、周期特征和正解的有界性特征
{"title":"On the Rational Recursive Sequence","authors":"Zayed E.M.E., El Moneam","doi":"10.1155/2008/391265","DOIUrl":"https://doi.org/10.1155/2008/391265","url":null,"abstract":"We study the global stability, the periodic character, and the boundedness character of the positive solutions of the difference equation 𝑥𝑛","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"36 1","pages":"103-115"},"PeriodicalIF":1.2,"publicationDate":"2008-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2008/391265","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64170137","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
By introducing some parameters, we establish generalizations of the Hilbert-type inequality. As applications, the reverse and its equivalent form are considered.
通过引入一些参数,我们建立了hilbert型不等式的推广。作为应用,考虑了反向及其等价形式。
{"title":"On a Generalization of Hilbert-Type Integral Inequality","authors":"Sun Bao-ju","doi":"10.1155/2008/381650","DOIUrl":"https://doi.org/10.1155/2008/381650","url":null,"abstract":"By introducing some parameters, we establish generalizations of the Hilbert-type inequality. As applications, the reverse and its equivalent form are considered.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"2008 1","pages":"337-344"},"PeriodicalIF":1.2,"publicationDate":"2008-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2008/381650","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64169745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}